TSTP Solution File: SWV296-2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV296-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 06:15:45 EDT 2024

% Result   : Unsatisfiable 0.21s 0.40s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   33
% Syntax   : Number of formulae    :  251 (  23 unt;   0 def)
%            Number of atoms       :  821 ( 115 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  972 ( 402   ~; 561   |;   0   &)
%                                         (   9 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :   12 (  10 usr;  10 prp; 0-3 aty)
%            Number of functors    :   33 (  33 usr;  18 con; 0-3 aty)
%            Number of variables   :   80 (  80   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f453,plain,
    $false,
    inference(avatar_sat_refutation,[],[f40,f57,f59,f126,f139,f145,f149,f196,f199,f202,f206,f208,f210,f212,f215,f217,f219,f221,f223,f225,f234,f274,f281,f315,f402,f403,f405,f408,f410,f451,f452]) ).

fof(f452,plain,
    ( ~ spl0_4
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f449]) ).

fof(f449,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(resolution,[],[f448,f72]) ).

fof(f72,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(resolution,[],[f68,f3]) ).

fof(f3,axiom,
    ! [X2,X6,X5] :
      ( ~ c_in(c_Message_Omsg_OMPair(X2,X5),c_Message_Oanalz(X6),tc_Message_Omsg)
      | c_in(X5,c_Message_Oanalz(X6),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).

fof(f68,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(resolution,[],[f64,f3]) ).

fof(f64,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(resolution,[],[f62,f3]) ).

fof(f62,plain,
    c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(resolution,[],[f18,f1]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).

fof(f18,axiom,
    c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f448,plain,
    ( ! [X0] : ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(resolution,[],[f443,f5]) ).

fof(f5,axiom,
    ! [X6,X4] :
      ( c_in(X4,c_Message_Oparts(X6),tc_Message_Omsg)
      | ~ c_in(X4,c_Message_Oanalz(X6),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).

fof(f443,plain,
    ( ! [X0] : ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f442,f12]) ).

fof(f12,axiom,
    c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f442,plain,
    ( ! [X0] :
        ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
        | ~ c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) )
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f439,f11]) ).

fof(f11,axiom,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f439,plain,
    ( ! [X0] :
        ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
        | c_in(v_A,c_Event_Obad,tc_Message_Oagent)
        | ~ c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) )
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(resolution,[],[f430,f105]) ).

fof(f105,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OAgent(X1))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OAgent(X3)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
      | c_in(X1,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(resolution,[],[f8,f5]) ).

fof(f8,axiom,
    ! [X3,X10,X0,X1,X8,X9] :
      ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(X9,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OAgent(X0))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
      | ~ c_in(X3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X9,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OAgent(X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
      | c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_Ono__nonce__OR1__OR2__dest_0) ).

fof(f430,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(resolution,[],[f427,f3]) ).

fof(f427,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(resolution,[],[f422,f3]) ).

fof(f422,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(resolution,[],[f418,f3]) ).

fof(f418,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(resolution,[],[f416,f3]) ).

fof(f416,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f415,f12]) ).

fof(f415,plain,
    ( ~ c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(resolution,[],[f414,f83]) ).

fof(f83,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Event_Oevent_OGets(X0,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X2,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    inference(resolution,[],[f7,f1]) ).

fof(f7,axiom,
    ! [X2,X3,X1] :
      ( c_in(c_Event_Oevent_OSays(v_sko__usf(X1,X2,X3),X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_OGets__imp__Says__dest_0) ).

fof(f414,plain,
    ( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f413,f134]) ).

fof(f134,plain,
    ( v_NA = c_Message_Omsg_ONonce(v_NB)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f132]) ).

fof(f132,plain,
    ( spl0_8
  <=> v_NA = c_Message_Omsg_ONonce(v_NB) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f413,plain,
    ( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f16,f52]) ).

fof(f52,plain,
    ( v_A = v_Ba
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f50]) ).

fof(f50,plain,
    ( spl0_4
  <=> v_A = v_Ba ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f16,axiom,
    c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f451,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f450]) ).

fof(f450,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(resolution,[],[f448,f334]) ).

fof(f334,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_A)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f72,f326]) ).

fof(f326,plain,
    ( v_A = v_B
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f55,f52]) ).

fof(f55,plain,
    ( v_Ba = v_B
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f54]) ).

fof(f54,plain,
    ( spl0_5
  <=> v_Ba = v_B ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f410,plain,
    ( spl0_1
    | spl0_3
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f409]) ).

fof(f409,plain,
    ( $false
    | spl0_1
    | spl0_3
    | spl0_8 ),
    inference(global_subsumption,[],[f16,f23,f13,f14,f17,f26,f28,f11,f12,f15,f5,f2,f3,f4,f6,f10,f30,f31,f19,f1,f18,f62,f63,f66,f64,f67,f70,f68,f71,f74,f72,f75,f77,f78,f76,f73,f69,f65,f7,f83,f8,f9,f105,f24,f29,f150,f20,f34,f156,f42,f116,f173,f174,f226,f129,f128,f229,f230,f231,f322,f324,f48,f406,f133]) ).

fof(f133,plain,
    ( v_NA != c_Message_Omsg_ONonce(v_NB)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f132]) ).

fof(f406,plain,
    ( v_NA = c_Message_Omsg_ONonce(v_NB)
    | spl0_1
    | spl0_3 ),
    inference(subsumption_resolution,[],[f322,f48]) ).

fof(f48,plain,
    ( v_NA != c_Message_Omsg_ONonce(v_NAa)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f46]) ).

fof(f46,plain,
    ( spl0_3
  <=> v_NA = c_Message_Omsg_ONonce(v_NAa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f324,plain,
    ( v_A = v_Ba
    | v_NA = c_Message_Omsg_ONonce(v_NAa)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f13,f34]) ).

fof(f322,plain,
    ( v_NA = c_Message_Omsg_ONonce(v_NAa)
    | v_NA = c_Message_Omsg_ONonce(v_NB)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f14,f34]) ).

fof(f231,plain,
    ( v_A = v_Aa
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f16,f23,f13,f14,f17,f26,f28,f11,f12,f15,f5,f2,f3,f4,f6,f10,f30,f31,f19,f1,f18,f62,f63,f66,f64,f67,f70,f68,f71,f74,f72,f75,f77,f78,f76,f73,f69,f65,f7,f83,f8,f9,f105,f24,f133,f29,f150,f20,f34,f156,f42,f116,f173,f174,f226,f129,f128,f229,f230]) ).

fof(f230,plain,
    ( v_A = v_Aa
    | v_NA = c_Message_Omsg_ONonce(v_NB)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f24,f34]) ).

fof(f229,plain,
    ( v_A = v_Aa
    | spl0_1
    | spl0_8 ),
    inference(global_subsumption,[],[f16,f23,f13,f14,f17,f26,f28,f11,f12,f15,f5,f2,f3,f4,f6,f10,f30,f31,f19,f1,f18,f62,f63,f66,f64,f67,f70,f68,f71,f74,f72,f75,f77,f78,f76,f73,f69,f65,f7,f83,f8,f9,f105,f24,f133,f29,f150,f20,f34,f156,f42,f116,f173,f174,f226,f129,f128]) ).

fof(f128,plain,
    ( v_A = v_Aa
    | v_NA = c_Message_Omsg_ONonce(v_NB)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f24,f34]) ).

fof(f129,plain,
    ( v_A = v_Aa
    | v_A = v_Ba
    | spl0_1 ),
    inference(subsumption_resolution,[],[f23,f34]) ).

fof(f226,plain,
    ( v_A = v_Aa
    | v_A = v_Ba
    | spl0_1 ),
    inference(subsumption_resolution,[],[f23,f34]) ).

fof(f174,plain,
    ! [X0] :
      ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
      | v_B = X0 ),
    inference(resolution,[],[f173,f5]) ).

fof(f173,plain,
    ! [X0] :
      ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
      | v_B = X0 ),
    inference(subsumption_resolution,[],[f172,f11]) ).

fof(f172,plain,
    ! [X0] :
      ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
      | v_B = X0
      | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(subsumption_resolution,[],[f171,f12]) ).

fof(f171,plain,
    ! [X0] :
      ( ~ c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
      | v_B = X0
      | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(resolution,[],[f116,f72]) ).

fof(f116,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OAgent(X4)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
      | ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OAgent(X3)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
      | X3 = X4
      | c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
    inference(resolution,[],[f9,f5]) ).

fof(f42,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | spl0_1 ),
    inference(resolution,[],[f34,f5]) ).

fof(f156,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | spl0_1 ),
    inference(resolution,[],[f34,f5]) ).

fof(f34,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f33]) ).

fof(f33,plain,
    ( spl0_1
  <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f20,axiom,
    ! [X12] :
      ( v_K = v_KAB
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(X12,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f150,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | spl0_1 ),
    inference(global_subsumption,[],[f16,f23,f13,f14,f17,f26,f28,f11,f12,f15,f5,f2,f3,f4,f6,f10,f30,f31,f19,f34,f42,f1,f18,f62,f63,f66,f64,f67,f70,f68,f71,f74,f72,f75,f77,f78,f76,f73,f69,f65,f7,f83,f8,f9,f116,f105,f129,f128,f24,f20,f29]) ).

fof(f29,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(global_subsumption,[],[f11,f12,f15,f18,f16,f19,f20,f23,f24,f13,f14,f17]) ).

fof(f24,axiom,
    ( v_A = v_Aa
    | v_NA = c_Message_Omsg_ONonce(v_NB)
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).

fof(f9,axiom,
    ! [X3,X0,X11,X1,X9] :
      ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X9,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OAgent(X11)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
      | c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X9,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OAgent(X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
      | X1 = X11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_Ounique__NA__dest_0) ).

fof(f65,plain,
    c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))))),c_Event_Oused(v_evs3),tc_Message_Omsg),
    inference(resolution,[],[f62,f30]) ).

fof(f69,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))),c_Event_Oused(v_evs3),tc_Message_Omsg),
    inference(resolution,[],[f64,f30]) ).

fof(f73,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))),c_Event_Oused(v_evs3),tc_Message_Omsg),
    inference(resolution,[],[f68,f30]) ).

fof(f76,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Event_Oused(v_evs3),tc_Message_Omsg),
    inference(resolution,[],[f72,f30]) ).

fof(f78,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)),c_Event_Oused(v_evs3),tc_Message_Omsg),
    inference(resolution,[],[f77,f10]) ).

fof(f77,plain,
    c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))),c_Event_Oused(v_evs3),tc_Message_Omsg),
    inference(resolution,[],[f75,f2]) ).

fof(f75,plain,
    c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(resolution,[],[f72,f31]) ).

fof(f74,plain,
    c_in(c_Message_Omsg_OAgent(v_B),c_Event_Oused(v_evs3),tc_Message_Omsg),
    inference(resolution,[],[f71,f30]) ).

fof(f71,plain,
    c_in(c_Message_Omsg_OAgent(v_B),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(resolution,[],[f68,f4]) ).

fof(f70,plain,
    c_in(c_Message_Omsg_OAgent(v_A),c_Event_Oused(v_evs3),tc_Message_Omsg),
    inference(resolution,[],[f67,f30]) ).

fof(f67,plain,
    c_in(c_Message_Omsg_OAgent(v_A),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(resolution,[],[f64,f4]) ).

fof(f66,plain,
    c_in(v_NA,c_Event_Oused(v_evs3),tc_Message_Omsg),
    inference(resolution,[],[f63,f30]) ).

fof(f63,plain,
    c_in(v_NA,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(resolution,[],[f62,f4]) ).

fof(f19,axiom,
    ( v_K = v_KAB
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f31,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oanalz(X1),tc_Message_Omsg)
      | c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
    inference(resolution,[],[f6,f5]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ~ c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
      | c_in(X0,c_Event_Oused(X1),tc_Message_Omsg) ),
    inference(resolution,[],[f2,f5]) ).

fof(f10,axiom,
    ! [X2,X6,X5] :
      ( ~ c_in(c_Message_Omsg_OMPair(X2,X5),c_Event_Oused(X6),tc_Message_Omsg)
      | c_in(X5,c_Event_Oused(X6),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OMPair__used_0) ).

fof(f6,axiom,
    ! [X2,X6,X7] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X7,X2),c_Message_Oparts(X6),tc_Message_Omsg)
      | c_in(X2,c_Message_Oparts(X6),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OBody__dest_0) ).

fof(f4,axiom,
    ! [X2,X6,X5] :
      ( ~ c_in(c_Message_Omsg_OMPair(X2,X5),c_Message_Oanalz(X6),tc_Message_Omsg)
      | c_in(X2,c_Message_Oanalz(X6),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_1) ).

fof(f2,axiom,
    ! [X3,X4] :
      ( ~ c_in(X4,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
      | c_in(X4,c_Event_Oused(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) ).

fof(f15,axiom,
    ~ c_in(c_Message_Omsg_OKey(v_KAB),c_Event_Oused(v_evs3),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f28,plain,
    ( v_Ba != v_B
    | v_K != v_KAB
    | v_A != v_Aa
    | v_NA != c_Message_Omsg_ONonce(v_NAa)
    | v_NA = c_Message_Omsg_ONonce(v_NB) ),
    inference(equality_resolution,[],[f27]) ).

fof(f27,plain,
    ! [X15] :
      ( v_Ba != v_B
      | v_K != v_KAB
      | v_A != v_Aa
      | v_NA != c_Message_Omsg_ONonce(v_NAa)
      | c_Message_Omsg_ONonce(v_NB) != X15
      | v_NA = c_Message_Omsg_ONonce(v_NB) ),
    inference(equality_resolution,[],[f22]) ).

fof(f22,axiom,
    ! [X14,X15] :
      ( v_Ba != v_B
      | v_K != v_KAB
      | v_A != v_Aa
      | v_NA != c_Message_Omsg_ONonce(v_NAa)
      | c_Message_Omsg_ONonce(v_NB) != X14
      | c_Message_Omsg_ONonce(v_NB) != X15
      | v_NA = c_Message_Omsg_ONonce(v_NB) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_69) ).

fof(f26,plain,
    ( v_Ba != v_B
    | v_K != v_KAB
    | v_A != v_Aa
    | v_A = v_Ba
    | v_NA != c_Message_Omsg_ONonce(v_NAa) ),
    inference(equality_resolution,[],[f25]) ).

fof(f25,plain,
    ! [X14] :
      ( v_Ba != v_B
      | v_K != v_KAB
      | v_A != v_Aa
      | v_A = v_Ba
      | v_NA != c_Message_Omsg_ONonce(v_NAa)
      | c_Message_Omsg_ONonce(v_NB) != X14 ),
    inference(equality_resolution,[],[f21]) ).

fof(f21,axiom,
    ! [X14,X13] :
      ( v_Ba != v_B
      | v_K != v_KAB
      | v_A != v_Aa
      | v_A = v_Ba
      | v_NA != c_Message_Omsg_ONonce(v_NAa)
      | c_Message_Omsg_ONonce(v_NB) != X13
      | c_Message_Omsg_ONonce(v_NB) != X14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_68) ).

fof(f17,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_37) ).

fof(f14,axiom,
    ( v_NA = c_Message_Omsg_ONonce(v_NAa)
    | v_NA = c_Message_Omsg_ONonce(v_NB)
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_17) ).

fof(f13,axiom,
    ( v_A = v_Ba
    | v_NA = c_Message_Omsg_ONonce(v_NAa)
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_15) ).

fof(f23,axiom,
    ( v_A = v_Aa
    | v_A = v_Ba
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).

fof(f408,plain,
    ( spl0_1
    | spl0_3
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f407]) ).

fof(f407,plain,
    ( $false
    | spl0_1
    | spl0_3
    | spl0_8 ),
    inference(global_subsumption,[],[f16,f23,f13,f14,f17,f26,f28,f11,f12,f15,f5,f2,f3,f4,f6,f10,f30,f31,f19,f1,f18,f62,f63,f66,f64,f67,f70,f68,f71,f74,f72,f75,f77,f78,f76,f73,f69,f65,f7,f83,f8,f9,f105,f24,f29,f150,f20,f34,f156,f42,f116,f173,f174,f226,f129,f128,f229,f230,f231,f133,f322,f324,f48,f406]) ).

fof(f405,plain,
    ( spl0_1
    | spl0_3
    | ~ spl0_4
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f404]) ).

fof(f404,plain,
    ( $false
    | spl0_1
    | spl0_3
    | ~ spl0_4
    | spl0_8
    | ~ spl0_9 ),
    inference(global_subsumption,[],[f359,f16,f23,f13,f14,f17,f26,f28,f11,f12,f15,f5,f2,f3,f4,f6,f10,f30,f31,f19,f1,f18,f62,f63,f66,f64,f67,f70,f68,f71,f74,f72,f75,f77,f78,f76,f73,f69,f65,f7,f83,f8,f9,f105,f24,f29,f150,f20,f34,f156,f42,f116,f173,f174,f226,f129,f128,f229,f230,f231,f133,f322,f324,f48]) ).

fof(f359,plain,
    ( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_A)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f321,f52]) ).

fof(f321,plain,
    ( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f16,f138]) ).

fof(f138,plain,
    ( v_A = v_Aa
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f136]) ).

fof(f136,plain,
    ( spl0_9
  <=> v_A = v_Aa ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f403,plain,
    ( ~ spl0_4
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f400]) ).

fof(f400,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(resolution,[],[f399,f72]) ).

fof(f399,plain,
    ( ! [X0] : ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(resolution,[],[f396,f5]) ).

fof(f396,plain,
    ( ! [X0] : ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f395,f12]) ).

fof(f395,plain,
    ( ! [X0] :
        ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
        | ~ c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) )
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f392,f11]) ).

fof(f392,plain,
    ( ! [X0] :
        ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
        | c_in(v_A,c_Event_Obad,tc_Message_Oagent)
        | ~ c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) )
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(resolution,[],[f382,f105]) ).

fof(f382,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_A))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(resolution,[],[f379,f3]) ).

fof(f379,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_A)))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(resolution,[],[f376,f3]) ).

fof(f376,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_A))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(resolution,[],[f372,f3]) ).

fof(f372,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_A)))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(resolution,[],[f370,f3]) ).

fof(f370,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_A))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f369,f12]) ).

fof(f369,plain,
    ( ~ c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_A))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(resolution,[],[f360,f83]) ).

fof(f360,plain,
    ( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_A)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f359,f134]) ).

fof(f402,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f401]) ).

fof(f401,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(resolution,[],[f399,f334]) ).

fof(f315,plain,
    ( ~ spl0_3
    | spl0_5
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f314]) ).

fof(f314,plain,
    ( $false
    | ~ spl0_3
    | spl0_5
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f310,f56]) ).

fof(f56,plain,
    ( v_Ba != v_B
    | spl0_5 ),
    inference(avatar_component_clause,[],[f54]) ).

fof(f310,plain,
    ( v_Ba = v_B
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(resolution,[],[f307,f174]) ).

fof(f307,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(resolution,[],[f304,f4]) ).

fof(f304,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(resolution,[],[f301,f3]) ).

fof(f301,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(resolution,[],[f298,f3]) ).

fof(f298,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(resolution,[],[f296,f3]) ).

fof(f296,plain,
    ( c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f295,f12]) ).

fof(f295,plain,
    ( ~ c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(resolution,[],[f289,f83]) ).

fof(f289,plain,
    ( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f127,f138]) ).

fof(f127,plain,
    ( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f16,f47]) ).

fof(f47,plain,
    ( v_NA = c_Message_Omsg_ONonce(v_NAa)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f46]) ).

fof(f281,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f280]) ).

fof(f280,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_8
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f279,f52]) ).

fof(f279,plain,
    ( v_A != v_Ba
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f278,f252]) ).

fof(f252,plain,
    ( v_A = v_B
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(resolution,[],[f249,f174]) ).

fof(f249,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_A)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(resolution,[],[f247,f4]) ).

fof(f247,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_A)))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(resolution,[],[f244,f3]) ).

fof(f244,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_A))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(resolution,[],[f241,f3]) ).

fof(f241,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_A)))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(resolution,[],[f239,f3]) ).

fof(f239,plain,
    ( c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_A))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f238,f12]) ).

fof(f238,plain,
    ( ~ c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_A))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(resolution,[],[f237,f83]) ).

fof(f237,plain,
    ( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_A)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f236,f138]) ).

fof(f236,plain,
    ( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f127,f52]) ).

fof(f278,plain,
    ( v_Ba != v_B
    | ~ spl0_2
    | ~ spl0_3
    | spl0_8
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f277,f133]) ).

fof(f277,plain,
    ( v_Ba != v_B
    | v_NA = c_Message_Omsg_ONonce(v_NB)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f276,f47]) ).

fof(f276,plain,
    ( v_Ba != v_B
    | v_NA != c_Message_Omsg_ONonce(v_NAa)
    | v_NA = c_Message_Omsg_ONonce(v_NB)
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f275,f138]) ).

fof(f275,plain,
    ( v_Ba != v_B
    | v_A != v_Aa
    | v_NA != c_Message_Omsg_ONonce(v_NAa)
    | v_NA = c_Message_Omsg_ONonce(v_NB)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f28,f39]) ).

fof(f39,plain,
    ( v_K = v_KAB
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f37,plain,
    ( spl0_2
  <=> v_K = v_KAB ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f274,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | spl0_5
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f273]) ).

fof(f273,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_4
    | spl0_5
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f259,f52]) ).

fof(f259,plain,
    ( v_A != v_Ba
    | ~ spl0_3
    | ~ spl0_4
    | spl0_5
    | ~ spl0_9 ),
    inference(superposition,[],[f56,f252]) ).

fof(f234,plain,
    ( ~ spl0_4
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f233]) ).

fof(f233,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f232,f11]) ).

fof(f232,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f122,f52]) ).

fof(f122,plain,
    ( c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f120]) ).

fof(f120,plain,
    ( spl0_6
  <=> c_in(v_Ba,c_Event_Obad,tc_Message_Oagent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f225,plain,
    ( spl0_1
    | spl0_4
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f224]) ).

fof(f224,plain,
    ( $false
    | spl0_1
    | spl0_4
    | spl0_9 ),
    inference(global_subsumption,[],[f16,f23,f13,f14,f17,f26,f28,f11,f12,f15,f5,f2,f3,f4,f6,f10,f30,f31,f19,f61,f1,f18,f62,f63,f66,f64,f67,f70,f68,f71,f74,f72,f75,f77,f78,f76,f73,f69,f65,f7,f83,f8,f9,f105,f129,f128,f24,f137,f29,f150,f151,f152,f20,f154,f34,f156,f42,f116,f173,f174,f200,f204,f51]) ).

fof(f51,plain,
    ( v_A != v_Ba
    | spl0_4 ),
    inference(avatar_component_clause,[],[f50]) ).

fof(f204,plain,
    ( v_A = v_Ba
    | spl0_1
    | spl0_9 ),
    inference(subsumption_resolution,[],[f203,f34]) ).

fof(f203,plain,
    ( v_A = v_Ba
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | spl0_9 ),
    inference(subsumption_resolution,[],[f23,f137]) ).

fof(f200,plain,
    ( v_A = v_Ba
    | spl0_1
    | spl0_9 ),
    inference(subsumption_resolution,[],[f129,f137]) ).

fof(f154,plain,
    ( v_NA = c_Message_Omsg_ONonce(v_NB)
    | spl0_1
    | spl0_9 ),
    inference(subsumption_resolution,[],[f128,f137]) ).

fof(f152,plain,
    ( v_NA = c_Message_Omsg_ONonce(v_NB)
    | spl0_1
    | spl0_9 ),
    inference(global_subsumption,[],[f16,f23,f13,f14,f17,f26,f28,f11,f12,f15,f5,f2,f3,f4,f6,f10,f30,f31,f19,f34,f42,f1,f18,f62,f63,f66,f64,f67,f70,f68,f71,f74,f72,f75,f77,f78,f76,f73,f69,f65,f7,f83,f8,f9,f116,f105,f129,f128,f24,f137,f20,f29,f150,f151]) ).

fof(f151,plain,
    ( v_NA = c_Message_Omsg_ONonce(v_NB)
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | spl0_9 ),
    inference(subsumption_resolution,[],[f24,f137]) ).

fof(f137,plain,
    ( v_A != v_Aa
    | spl0_9 ),
    inference(avatar_component_clause,[],[f136]) ).

fof(f61,plain,
    ( v_A = v_Aa
    | spl0_1
    | spl0_4 ),
    inference(subsumption_resolution,[],[f60,f34]) ).

fof(f60,plain,
    ( v_A = v_Aa
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f23,f51]) ).

fof(f223,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_4
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f222]) ).

fof(f222,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | spl0_4
    | spl0_9 ),
    inference(global_subsumption,[],[f104,f16,f23,f13,f14,f17,f26,f28,f11,f12,f15,f5,f2,f3,f4,f6,f10,f30,f31,f19,f51,f61,f1,f18,f62,f63,f66,f64,f67,f70,f68,f71,f74,f72,f75,f77,f78,f76,f73,f69,f65,f7,f83,f8,f9,f105,f129,f128,f24,f137,f29,f150,f151,f152,f20,f154,f34,f156,f42,f116,f173,f174,f200,f204]) ).

fof(f104,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)),c_Event_Oused(v_evs3),tc_Message_Omsg)
    | spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(resolution,[],[f103,f10]) ).

fof(f103,plain,
    ( c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba))),c_Event_Oused(v_evs3),tc_Message_Omsg)
    | spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(resolution,[],[f101,f2]) ).

fof(f101,plain,
    ( c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(resolution,[],[f98,f31]) ).

fof(f98,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(resolution,[],[f95,f4]) ).

fof(f95,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(resolution,[],[f92,f3]) ).

fof(f92,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(resolution,[],[f89,f3]) ).

fof(f89,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(resolution,[],[f87,f3]) ).

fof(f87,plain,
    ( c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(subsumption_resolution,[],[f86,f12]) ).

fof(f86,plain,
    ( ~ c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(resolution,[],[f85,f83]) ).

fof(f85,plain,
    ( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
    | spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(forward_demodulation,[],[f84,f47]) ).

fof(f84,plain,
    ( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
    | spl0_1
    | spl0_4 ),
    inference(forward_demodulation,[],[f16,f61]) ).

fof(f221,plain,
    ( spl0_1
    | spl0_4
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f220]) ).

fof(f220,plain,
    ( $false
    | spl0_1
    | spl0_4
    | spl0_9 ),
    inference(subsumption_resolution,[],[f61,f137]) ).

fof(f219,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_4
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f218]) ).

fof(f218,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | spl0_4
    | spl0_9 ),
    inference(global_subsumption,[],[f101,f16,f23,f13,f14,f17,f26,f28,f11,f12,f15,f5,f2,f3,f4,f6,f10,f30,f31,f19,f51,f61,f1,f18,f62,f63,f66,f64,f67,f70,f68,f71,f74,f72,f75,f77,f78,f76,f73,f69,f65,f7,f83,f8,f9,f105,f129,f128,f24,f137,f29,f150,f151,f152,f20,f154,f34,f156,f42,f116,f173,f174,f200,f204]) ).

fof(f217,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_4
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f216]) ).

fof(f216,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | spl0_4
    | spl0_9 ),
    inference(global_subsumption,[],[f97,f16,f23,f13,f14,f17,f26,f28,f11,f12,f15,f5,f2,f3,f4,f6,f10,f30,f31,f19,f51,f61,f1,f18,f62,f63,f66,f64,f67,f70,f68,f71,f74,f72,f75,f77,f78,f76,f73,f69,f65,f7,f83,f8,f9,f105,f129,f128,f24,f137,f29,f150,f151,f152,f20,f154,f34,f156,f42,f116,f173,f174,f200,f204]) ).

fof(f97,plain,
    ( c_in(c_Message_Omsg_OAgent(v_Ba),c_Event_Oused(v_evs3),tc_Message_Omsg)
    | spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(resolution,[],[f94,f30]) ).

fof(f94,plain,
    ( c_in(c_Message_Omsg_OAgent(v_Ba),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(resolution,[],[f92,f4]) ).

fof(f215,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f214]) ).

fof(f214,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(global_subsumption,[],[f213,f16,f23,f13,f14,f17,f26,f28,f11,f12,f15,f5,f2,f3,f4,f6,f10,f30,f31,f19,f51,f61,f1,f18,f62,f63,f66,f64,f67,f70,f68,f71,f74,f72,f75,f77,f78,f76,f73,f69,f65,f7,f83,f8,f9,f105,f129,f128,f24,f137,f29,f150,f151,f152,f20,f154,f34,f156,f42,f116,f173,f174,f200,f204]) ).

fof(f213,plain,
    ( c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba))),c_Event_Oused(v_evs3),tc_Message_Omsg)
    | spl0_1
    | ~ spl0_3
    | spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f110,f134]) ).

fof(f110,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba))),c_Event_Oused(v_evs3),tc_Message_Omsg)
    | spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(resolution,[],[f109,f10]) ).

fof(f109,plain,
    ( c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Event_Oused(v_evs3),tc_Message_Omsg)
    | spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(resolution,[],[f107,f2]) ).

fof(f107,plain,
    ( c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(resolution,[],[f99,f31]) ).

fof(f99,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(resolution,[],[f95,f3]) ).

fof(f212,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_4
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f211]) ).

fof(f211,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | spl0_4
    | spl0_9 ),
    inference(global_subsumption,[],[f103,f16,f23,f13,f14,f17,f26,f28,f11,f12,f15,f5,f2,f3,f4,f6,f10,f30,f31,f19,f51,f61,f1,f18,f62,f63,f66,f64,f67,f70,f68,f71,f74,f72,f75,f77,f78,f76,f73,f69,f65,f7,f83,f8,f9,f105,f129,f128,f24,f137,f29,f150,f151,f152,f20,f154,f34,f156,f42,f116,f173,f174,f200,f204]) ).

fof(f210,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_4
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f209]) ).

fof(f209,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | spl0_4
    | spl0_9 ),
    inference(global_subsumption,[],[f94,f16,f23,f13,f14,f17,f26,f28,f11,f12,f15,f5,f2,f3,f4,f6,f10,f30,f31,f19,f51,f61,f1,f18,f62,f63,f66,f64,f67,f70,f68,f71,f74,f72,f75,f77,f78,f76,f73,f69,f65,f7,f83,f8,f9,f105,f129,f128,f24,f137,f29,f150,f151,f152,f20,f154,f34,f156,f42,f116,f173,f174,f200,f204]) ).

fof(f208,plain,
    ( spl0_1
    | spl0_4
    | ~ spl0_6
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f207]) ).

fof(f207,plain,
    ( $false
    | spl0_1
    | spl0_4
    | ~ spl0_6
    | spl0_9 ),
    inference(global_subsumption,[],[f122,f16,f23,f13,f14,f17,f26,f28,f11,f12,f15,f5,f2,f3,f4,f6,f10,f30,f31,f19,f51,f61,f1,f18,f62,f63,f66,f64,f67,f70,f68,f71,f74,f72,f75,f77,f78,f76,f73,f69,f65,f7,f83,f8,f9,f105,f129,f128,f24,f137,f29,f150,f151,f152,f20,f154,f34,f156,f42,f116,f173,f174,f200,f204]) ).

fof(f206,plain,
    ( spl0_1
    | spl0_4
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f205]) ).

fof(f205,plain,
    ( $false
    | spl0_1
    | spl0_4
    | spl0_9 ),
    inference(global_subsumption,[],[f16,f23,f13,f14,f17,f26,f28,f11,f12,f15,f5,f2,f3,f4,f6,f10,f30,f31,f19,f51,f61,f1,f18,f62,f63,f66,f64,f67,f70,f68,f71,f74,f72,f75,f77,f78,f76,f73,f69,f65,f7,f83,f8,f9,f105,f129,f128,f24,f137,f29,f150,f151,f152,f20,f154,f34,f156,f42,f116,f173,f174,f200,f204]) ).

fof(f202,plain,
    ( spl0_1
    | spl0_4
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f201]) ).

fof(f201,plain,
    ( $false
    | spl0_1
    | spl0_4
    | spl0_9 ),
    inference(global_subsumption,[],[f16,f23,f13,f14,f17,f26,f28,f11,f12,f15,f5,f2,f3,f4,f6,f10,f30,f31,f19,f51,f61,f1,f18,f62,f63,f66,f64,f67,f70,f68,f71,f74,f72,f75,f77,f78,f76,f73,f69,f65,f7,f83,f8,f9,f105,f129,f128,f24,f137,f29,f150,f151,f152,f20,f154,f34,f156,f42,f116,f173,f174,f200]) ).

fof(f199,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f198]) ).

fof(f198,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | spl0_4
    | ~ spl0_8
    | spl0_9 ),
    inference(global_subsumption,[],[f197,f16,f23,f13,f14,f17,f26,f28,f11,f12,f15,f5,f2,f3,f4,f6,f10,f30,f31,f19,f51,f61,f1,f18,f62,f63,f66,f64,f67,f70,f68,f71,f74,f72,f75,f77,f78,f76,f73,f69,f65,f7,f83,f8,f9,f105,f129,f128,f24,f137,f29,f150,f151,f152,f20,f154,f34,f156,f42,f116,f173,f174]) ).

fof(f197,plain,
    ( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f127,f134]) ).

fof(f196,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f195]) ).

fof(f195,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(resolution,[],[f194,f72]) ).

fof(f194,plain,
    ( ! [X0] : ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(resolution,[],[f190,f5]) ).

fof(f190,plain,
    ( ! [X0] : ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f189,f12]) ).

fof(f189,plain,
    ( ! [X0] :
        ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
        | ~ c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) )
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f186,f11]) ).

fof(f186,plain,
    ( ! [X0] :
        ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
        | c_in(v_A,c_Event_Obad,tc_Message_Oagent)
        | ~ c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) )
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(resolution,[],[f177,f105]) ).

fof(f177,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(resolution,[],[f169,f3]) ).

fof(f169,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(resolution,[],[f165,f3]) ).

fof(f165,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(resolution,[],[f162,f3]) ).

fof(f162,plain,
    ( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(resolution,[],[f160,f3]) ).

fof(f160,plain,
    ( c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f159,f12]) ).

fof(f159,plain,
    ( ~ c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(resolution,[],[f158,f83]) ).

fof(f158,plain,
    ( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f157,f134]) ).

fof(f157,plain,
    ( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f127,f52]) ).

fof(f149,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_contradiction_clause,[],[f148]) ).

fof(f148,plain,
    ( $false
    | ~ spl0_1
    | spl0_2 ),
    inference(subsumption_resolution,[],[f147,f146]) ).

fof(f146,plain,
    ( ! [X12] : ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(X12,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f20,f38]) ).

fof(f38,plain,
    ( v_K != v_KAB
    | spl0_2 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f147,plain,
    ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f29,f35]) ).

fof(f35,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f33]) ).

fof(f145,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_contradiction_clause,[],[f144]) ).

fof(f144,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f143,f41]) ).

fof(f41,plain,
    ( ~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(superposition,[],[f15,f39]) ).

fof(f143,plain,
    ( c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg)
    | ~ spl0_1 ),
    inference(resolution,[],[f142,f10]) ).

fof(f142,plain,
    ( c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),c_Event_Oused(v_evs3),tc_Message_Omsg)
    | ~ spl0_1 ),
    inference(resolution,[],[f140,f2]) ).

fof(f140,plain,
    ( c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ spl0_1 ),
    inference(resolution,[],[f35,f6]) ).

fof(f139,plain,
    ( spl0_8
    | spl0_9
    | spl0_1 ),
    inference(avatar_split_clause,[],[f128,f33,f136,f132]) ).

fof(f126,plain,
    ( spl0_6
    | spl0_7
    | spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f118,f50,f46,f33,f124,f120]) ).

fof(f124,plain,
    ( spl0_7
  <=> ! [X0] : ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f118,plain,
    ( ! [X0] :
        ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
        | c_in(v_Ba,c_Event_Obad,tc_Message_Oagent) )
    | spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(subsumption_resolution,[],[f117,f12]) ).

fof(f117,plain,
    ( ! [X0] :
        ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OAgent(X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
        | c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)
        | ~ c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) )
    | spl0_1
    | ~ spl0_3
    | spl0_4 ),
    inference(resolution,[],[f105,f99]) ).

fof(f59,plain,
    ( spl0_1
    | spl0_3
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f58]) ).

fof(f58,plain,
    ( $false
    | spl0_1
    | spl0_3
    | spl0_4 ),
    inference(global_subsumption,[],[f18,f16,f20,f23,f24,f13,f14,f17,f29,f26,f28,f1,f7,f8,f9,f11,f12,f15,f5,f2,f3,f4,f6,f10,f30,f31,f19,f34,f42,f51,f48]) ).

fof(f57,plain,
    ( ~ spl0_3
    | spl0_4
    | ~ spl0_5
    | spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f44,f37,f33,f54,f50,f46]) ).

fof(f44,plain,
    ( v_Ba != v_B
    | v_A = v_Ba
    | v_NA != c_Message_Omsg_ONonce(v_NAa)
    | spl0_1
    | ~ spl0_2 ),
    inference(global_subsumption,[],[f18,f16,f20,f23,f24,f13,f14,f17,f29,f26,f28,f1,f7,f8,f9,f11,f12,f15,f5,f2,f3,f4,f6,f10,f30,f31,f19,f39,f34,f41,f42,f43]) ).

fof(f43,plain,
    ( v_Ba != v_B
    | v_A != v_Aa
    | v_A = v_Ba
    | v_NA != c_Message_Omsg_ONonce(v_NAa)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f26,f39]) ).

fof(f40,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f19,f37,f33]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWV296-2 : TPTP v8.2.0. Released v3.2.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.34  % Computer : n011.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 300
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.34  % DateTime   : Sun May 19 06:22:53 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  % (8758)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37  % (8761)WARNING: value z3 for option sas not known
% 0.21/0.37  % (8764)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.37  % (8762)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37  % (8760)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37  % (8765)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.37  % (8763)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.37  % (8759)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37  % (8761)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.38  TRYING [1]
% 0.21/0.38  TRYING [2]
% 0.21/0.39  TRYING [1]
% 0.21/0.39  TRYING [3]
% 0.21/0.39  TRYING [2]
% 0.21/0.40  % (8761)First to succeed.
% 0.21/0.40  % (8761)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8758"
% 0.21/0.40  % (8761)Refutation found. Thanks to Tanya!
% 0.21/0.40  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.41  % (8761)------------------------------
% 0.21/0.41  % (8761)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.41  % (8761)Termination reason: Refutation
% 0.21/0.41  
% 0.21/0.41  % (8761)Memory used [KB]: 1033
% 0.21/0.41  % (8761)Time elapsed: 0.035 s
% 0.21/0.41  % (8761)Instructions burned: 65 (million)
% 0.21/0.41  % (8758)Success in time 0.047 s
%------------------------------------------------------------------------------